In this paper, we define a differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases.
- Type-2 fuzzy sets,
- Type-2 Hukuhara difference,
- Type-2 fuzzy differential equations,
- Quasi type-2 fuzzy numbers,
- Perfect type-2 fuzzy numbers,
Available at: http://works.bepress.com/mehran_mazandarani/4/